363055656681 has 15 divisors (see below), whose sum is σ = 542350501671. Its totient is φ = 242033489208.

The previous prime is 363055656599. The next prime is 363055656781. The reversal of 363055656681 is 186656550363.

It is a happy number.

The square root of 363055656681 is 602541.

It is a perfect power (a square), and thus also a powerful number.

363055656681 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 556 + 5 + 6 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 343795768281 + 19259888400 = 586341^2 + 138780^2 .

It is not a de Polignac number, because 363055656681 - 2¹⁹ = 363055132393 is a prime.

It is a super-2 number, since 2×363055656681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (363055656781) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5389395 + ... + 5456343.

Almost surely, 2^363055656681 is an apocalyptic number.

363055656681 is the 602541-st square number.

363055656681 is the 301271-st centered octagonal number.

It is an amenable number.

363055656681 is a deficient number, since it is larger than the sum of its proper divisors (179294844990).

363055656681 is an frugal number, since it uses more digits than its factorization.

363055656681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133910 (or 66952 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 363055656681 in words is "three hundred sixty-three billion, fifty-five million, six hundred fifty-six thousand, six hundred eighty-one".